Point Slope Form Calculator

Build a line from a point and slope, and convert to slope-intercept form.

Slope 3

y-intercept -1

Formula: y − y₀ = m(x − x₀) ⟹ b = y₀ − m·x₀

Step-by-step with your numbers:

1. Values used:

2. Slope = 3

3. Point x = 2

4. Point y = 5

6. Slope = 3

7. y-intercept = -1

Did we solve your problem today?

Point-slope form describes a line from one point and its slope.

The math behind it

y − y₀ = m(x − x₀). Rearranging gives slope-intercept form y = mx + b with b = y₀ − m·x₀.

Slope 3 through (2, 5) → y = 3x − 1.

When is point-slope handy?

When you know one point and the slope but not the y-intercept.